20704138416 has 120 divisors (see below), whose sum is σ = 62973070160. Its totient is φ = 6311996928.

The previous prime is 20704138387. The next prime is 20704138417. The reversal of 20704138416 is 61483140702.

20704138416 is a `hidden beast` number, since 207 + 0 + 4 + 1 + 38 + 416 = 666.

It is a super-2 number, since 2×20704138416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20704138417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153315 + ... + 254781.

Almost surely, 2^20704138416 is an apocalyptic number.

20704138416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20704138416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31486535080).

20704138416 is an abundant number, since it is smaller than the sum of its proper divisors (42268931744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20704138416 is a wasteful number, since it uses less digits than its factorization.

20704138416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101603 (or 101594 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20704138416 in words is "twenty billion, seven hundred four million, one hundred thirty-eight thousand, four hundred sixteen".